12 persons can do a piece of work in 4 days. How many persons

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12 persons can do a piece of work in 4 days. How many persons are required to complete 8 times the work in half the time ?

1. 192
2. 190
3. 180
4. 144

Correct Option: A

12 persons can complete a
work in 4 days.
⇒ 24 persons can complete the
work in 2 days.
⇒ 24 persons can complete the
8 times work in 16 days
⇒ 24 × 8 persons = 192 persons can complete the 8 times
work in 2 days.
Aliter : Using Rule 1,
Here, M₁ = 12, W₁ = 1, D₁ = 4
M₂ = ?, W₂ = 8, D₂ = 2
M₁D₁W₂ = M₂D₂W₁
12 × 4 × 8 = M₂ × 2 × 1
M₂ = 192